1. Fill in the blank: 24 points.

1, 3.85 cubic meters = () cubic decimeter 4 liters 40 ml = () liters.

2. Weld a cubic frame (excluding joints) with 48cm long iron wire. The surface area is () square centimeters and the volume is () cubic centimeters.

3. Fill in the appropriate unit name in brackets:

The volume of an eraser is about 8 (), and a classroom accounts for about 48 ().

The volume of the automobile fuel tank is 30 (), and the length of each step is about 60 ().

There are () odd numbers and () even numbers among natural numbers within 4.20 (including 20).

5. In14,6, 15 and 24, () is divisible by (), and () and () are prime numbers.

6. The largest two-digit number that can be divisible by 2, 3 and 5 at the same time is (), and the prime factor to decompose it is ().

7, 5□ When () is filled to the maximum, this number can be divisible by 3, and the divisor of this number is ().

8. If A is divisible by B, the greatest common divisor of A and B is (), and the least common multiple of A and B is ().

9. It is known that A = 2× 2× 3× 5 b = 2× 5× 7, the common prime factor of A and B is (), and their greatest common divisor is ().

10, a 2-meter-long rectangular steel, cut into two sections along the cross section, and the surface area is increased by 0.6 square decimeter. The volume of this rectangular steel is () cubic decimeter.

Second, judgment: 5 points

1, nonzero natural numbers are either prime numbers or composite numbers. ( )

2. The multiple of a number must be greater than its divisor. ( )

3. The product of two prime numbers must be a composite number. ( )

4. A cuboid (excluding cubes) has at most 8 equilateral sides. ( )

5. Even numbers greater than 2 are composite numbers. ( )

3. Selection: 10 minute 1, natural number A divided by natural number B, the quotient is 5, and the least common multiple of these two natural numbers is ().

a . a . b . c . 5

2. The greatest common factor of 2.a = 2× 2× 3b = 2× 3× 5ab is ().

A.6 B.3 C.2

3. The side length of the cube has been expanded by 3 times, and the volume has been expanded by ().

A.3 times B.9 times C.27 times

4, 15 and () are prime numbers.

A. 18

Four. Calculation: 24 points

(1) Find the greatest common factor (except 3 numbers) and the least common multiple of the following groups by short division.

16 and 24 45 and 60 26 and 39 10, 15 and 45 12, 14 and 42.

Verb (abbreviation of verb) application question: 37 points, 7 points for the second question, and 6 points for the other party.

1, a piece of rectangular steel, 1.6 meters long, with a cross section of 4 cm square. It weighs only 7.8 grams per cubic centimeter. How much does this square steel weigh?

2. Make an uncovered cuboid oil drum with iron sheet. The length and width are 4 decimeters and the height is 6 decimeters. How many square decimetres is the iron sheet? Put gasoline in a barrel, and each liter of oil weighs 0.82 kg. How many kilograms of gasoline can this barrel hold?

4. A cuboid glass cylinder, measured from the inside, is 40 cm long and 25 cm wide, and the water depth in the cylinder is 12 cm. After a stone is immersed in water, the water surface rises to 16 cm, and the volume of the stone is found.

5. The distance between Party A and Party B is120km. It took someone five hours to get from A to B by bike, and it took four hours to speed up when he came back. How many kilometers does he drive per hour on average?

6. Make 12 rectangular metal chimneys, each section is 2m long, 4m wide and 3m high. How many square meters of metal should be used at least?

1. Fill in the blanks: (26 points)

The decimal unit of 1 and 137 is (), and it has () such decimal units. If you add a decimal unit like (), it is the smallest prime number.

2、( )20 = 12( ) = 25 =( )÷( ) = ( )35 =30( )

The greatest common factor of 3, 9 and 36 is (), and the smallest common multiple is ().

4. Divide a 9-meter-long rope into 6 segments, each segment is 10 meter, and each segment is 9 meters.

5. The unit of score is 19. The highest true score is (), the lowest false score is (), and the lowest band score is ().

6.58 plus 15. In order to keep the size of the fraction unchanged, the denominator should be added with ().

7. () 17 is 67; 1520 contains ()14; () 18 is 3.

8. Fill the brackets with the simplest fraction.

20 points = () when () hectares =75 square meters < () < > () >

9. A circular pool with a circumference of 25.12m and an area of () m2.

10, the sum of three consecutive even numbers is 54, of which the smallest is ().

Second, multiple-choice questions, I like it! (5 points)

1, the following formula is not equation ().

a、X=0 B、3m=n C、X+ 1.9>2.5

2. The simplest true score with the score unit of 1 10 is ().

A. 10 b, 5 c, 4 d, countless.

3. Put 5g of salt into100g of water, and salt accounts for () of salt water.

A. 120b, 1 19 C, 12 1 D, uncertain.

Third, true or false, I am the fastest! (Tick "√" in brackets for correctness, tick "×" for error, 5 points)

Only the simplest score is 1, greater than 37 and less than 57 ......................... ().

2. Both sides of the equation are multiplied or divided by m at the same time, and the result is still an equation. ……………… ( )

3. The product of two numbers must be the common multiple of these two numbers. …………………………… ( )

4. A and B are both natural numbers, and a÷b=4, then the greatest common factor of A and B is 4. … ( )

5, 4 tons of 15 than 1 ton of 45. ( )

Fourth, calculation. (24 points)

1, oral calculation. (4 points)

2- =

2, solve the equation (***8 points)

χ-860=260 x- =

3. How to calculate the following questions simply? (12)

6-3 1 1 -8 1 1

Six, solve the problem (28 points)

1, a steel bar, the first cut is 78m, which is 3 10/0m more than the second cut, leaving 45m. What is the total length of this steel bar?

2. The per capita forest area in the world is about 0.65 hectares, which is five times that of China. What is the per capita forest area in China? (column equation solution)

3. Saw two pieces of wood with the length of 24 decimeters and 30 decimeters into several equal sections, without any surplus. What is the longest length of each paragraph?

There were 60 Dongdong and Fangfang. After Dongdong gave Fangfang the picture of 10, they had as many pictures. How many photos do they each have?

5. Build a highway. On the first day, half of the total length was less than 40 meters. The next day, the remaining half was more than 40 meters, leaving 60 meters. What is the total length of this highway? (4 points)